Conserved quantities in Stokes flow with free surfaces

Physics of Fluids

Volumn 9, Issue 3, 1997, Pages 477-480

  Cummings, L J ^a   Howison, S D ^a   King, J R ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FREE SURFACE FLOWS; STOKES FLOW;

EID: 0030800271     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869207     Document Type: Article

References (9)

1. S. D. Howison and S. Richardson, "Cusp development in free boundaries, and two-dimensional slow viscous flows," Eur. J. Appl. Math. 6, 441 (1995).
2. S. Tanveer and G. L. Vasconcelos, "Time-evolving bubbles in two dimensional Stokes flow," J. Fluid Mech. 301, 325 (1995).
3. S. Richardson, "Hele-Shaw flows with a free boundary produced by the injection of fluid into a narrow channel," J. Fluid Mech. 56, 609 (1972).
4. S. Richardson, "Two-dimensional slow viscous flows with time-dependent free boundaries driven by surface tension," Eur. J. Appl. Math. 3, 193 (1992).
5. R. W. Hopper, "Plane Stokes flow driven by capillarity on a free surface," J. Fluid Mech. 213, 349 (1990).
6. C. Huntingford, "An exact solution to the one-phase zero surface-tension Hele-Shaw free-boundary problem," Comput. Math. Appl. 29, 45 (1995).
7. V. F. Cowling and W. C. Royster, "Domains of variability for univalent polynomials," Proc. Am. Math. Soc. 19, 767 (1968).
8. S. D. Howison, "Complex variable methods in Hele-Shaw moving boundary problems," Eur. J. Appl. Math. 3, 209 (1992).
9. S. D. Howison, J. R. Ockendon, and A. A. Lacey, "Singularity development in moving boundary problems," Q. J. Mech. Appl. Math. 38, 343 (1985).